SBIR PHASE II: Telling Mathematical Stories: A Combination of Research and Technology

* 9704056卡波 这个小企业创新研究第二阶段项目从学习在运动，公司。提出将认知研究、数学理论与技术联合收割机整合于小学数学光盘中。 学生在数学上的早期成功取决于一个坚实的数字概念。 为此，“讲数学故事”提出综合四个重要因素：1）学生对数字的直觉和对数字的多角度理解，即，概念发展从数（计数）到重量和体积的转移; 2）声音用于从声学计数到估计数的过渡; 3）多种工具，以鼓励学生自己的策略和走向正式的数学化;以及4）三维图形的实验。 计划进行四个周期的发展研究，以测试技术的用途，目前还没有看到的方式。 这些包括设计，编程和现场测试：1）上下文和数学对象，3-D和声音; 2）模型及其视觉表示和界面，以及3）“外观和感觉”，角色主机和“世界”的功能，这将鼓励自己的生产。 第四个周期是综合方案的实地测试。 将认知和数学研究与新技术相结合的K-2数学课程的商业潜力非常高。 目前，大多数产品是演习和实践，并降级为计数和计算的符号。 建议的产品建立学生的直观的数字感。 它提供了多种模型工具，激励自己的生产和沟通数学，以及声音和3D动画的新用途。 ***

*** 9704056 Cappo This Small Business Innovation Research Phase II Project from Learning in Motion, Inc. proposes to combine cognitive research, mathematics theory, and technology in a CD-ROM for primary mathematics. Students early success in mathematics depends upon a solid concept of number. To that end, 'Telling Mathematical Stories' proposes to synthesize four important elements: 1) students' intuitive sense of number and multiple perspectives on number, i.e., transference of conceptual development from number (counting) to weight and volume; 2) sound used to transition from acoustic counting to estimating number; 3) multiple tools to encourage students' own strategies and a move toward formal mathematizing; and 4) experimentation with three-dimensional figures. Four- cycles of developmental research are planned to test the uses of technology in ways not currently seen. These include the design, programming, and field testing of: 1) contexts and mathematical objects, 3-D, and sound; 2) models and their visual representation and interface, and 3) 'look ,and feel', character hosts, and features of the 'worlds' that will encourage own productions. The fourth cycle is a field test of the integrated program. The commercial potential for a K-2 Math program that combines research on cognition and mathematics with new technology is very high. Currently, most products are drill and practice and relegated to counting and calculating with symbols. The proposed product builds students' intuitive sense of number. It offers multiple model tools, incentives for own productions and communicating mathematics, and new uses of sound and 3-D animation. ***